Author: Darryl D. HolmPublisher:
ISBN:
Category :
Languages : en
Pages : 8
Book Description
Nonlinear phenomena in ocean dynamics
Author: Darryl D. HolmNonlinear Phenomena in Ocean Dynamics
Author: Darryl D. HolmNonlinear Ocean Dynamics
Author: Maged MarghanyPublisher: Elsevier
ISBN: 0128209259
Category : Science
Languages : en
Pages : 464
Book Description
Nonlinear Ocean Dynamics: Synthetic Aperture Radar delivers the critical tools needed to understand the latest technology surrounding the radar imaging of nonlinear waves, particularly microwave radar, as a main source to understand, analyze and apply concepts in the field of ocean dynamic surface. Filling the gap between modern physics quantum theory and applications of radar imaging of ocean dynamic surface, this reference is packed with technical details associated with the potentiality of synthetic aperture radar (SAR). The book also includes key methods needed to extract the value-added information necessary, such as wave spectra energy, current pattern velocity, internal waves, and more. This book also reveals novel speculation of a shallow coastal front: named as Quantized Marghany's Front. Rounding out with practical simulations of 4-D wave-current interaction patterns using using radar images, the book brings an effective new source of technology and applications for today’s coastal scientists and engineers. Solves specific problems surrounding the nonlinearity of ocean surface dynamics in synthetic aperture radar data Helps develop new algorithms for retrieving ocean wave spectra and ocean current movements from synthetic aperture radar Includes over 100 equations that illustrate how to follow examples in the book
Peyresq Lectures on Nonlinear Phenomena
Author: Freddy BouchetPublisher: World Scientific
ISBN: 9814440590
Category : Mathematics
Languages : en
Pages : 386
Book Description
This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France). These lectures cover nonlinear physics in a broad sense. They were given over the period 2004 to 2008. The summer schools were organized by the Institut Non Lin(r)aire de Nice (Nice, France), the Laboratoire de Physique Statistique (ENS Paris, France) and the Institut de Recherche de Physique Hors Equilibre (Marseilles, France). The goal of the book is to provide a high-quality overview on the state of the art in nonlinear sciences, and to promote the transfer of knowledge between the various domains in physics dealing with nonlinear phenomen
Nonlinear Physical Oceanography
Author: Henk A. DijkstraPublisher: Springer Science & Business Media
ISBN: 1402022638
Category : Science
Languages : en
Pages : 532
Book Description
Taken from a review of the first edition in SIAM: "This text is different from most others in that it combines several different disciplines and draws on many scientific studies in order to deduce mechanisms of ocean circulation. (...) Therefore (it) cannot be substituted, and (...) it meets its unique goals with clarity and thoroughness".
Peyresq Lectures on Nonlinear Phenomena
Author: Freddy BouchetPublisher: World Scientific
ISBN: 9814440604
Category : Science
Languages : en
Pages : 388
Book Description
This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France). These lectures cover nonlinear physics in a broad sense. They were given over the period 2004 to 2008. The summer schools were organized by the Institut Non Linéaire de Nice (Nice, France), the Laboratoire de Physique Statistique (ENS Paris, France) and the Institut de Recherche de Physique Hors Equilibre (Marseilles, France). The goal of the book is to provide a high-quality overview on the state of the art in nonlinear sciences, and to promote the transfer of knowledge between the various domains in physics dealing with nonlinear phenomena. Contents:Some Examples of Animal Locomotion in Fluids (M Argentina)Applications of Equilibrium Statistical Mechanics to Atmospheres and Oceans (F Bouchet and A Venaille)Stochastic Perturbations of Nonlinear Dispersive Waves (A De Bouard)On Different Aspects of Granular Physics (C Josserand, P-Y Lagrée and D Lhuillier)Relativité générale (General relativity) (M Le Bellac)Bioadhesion (E Perez and F Pincet)Interfacial Growth Phenomena (A Pocheau) Readership: Physicists, mathematicians and biologists. Graduate students, post-docs, lecturers and researchers in nonlinear science. Keywords:BoseâEinstein Condensates;Fluid Dynamics;Complex Fluids;Mixing;Dynamo Effect
Advances in Coastal and Ocean Engineering
Author: Philip L. F. LiuPublisher: World Scientific
ISBN: 9812797556
Category : Science
Languages : en
Pages : 263
Book Description
In the last two decades, one of the most important research accomplishments in coastal hydrodynamics has been the development of accurate numerical models for nonlinear water wave propagation over a complex bathymetry from a relatively deep-water depth into the surf zone. This book contains five excellent papers reviewing different methodologies in various aspects of wave modeling; the authors are active researchers who have made original contributions to these subjects.
Advances in Coastal and Ocean Engineering
Author: Philip L-F LiuPublisher: World Scientific
ISBN: 9814496723
Category : Technology & Engineering
Languages : en
Pages : 264
Book Description
This volume consists of five excellent review papers. In the first paper, “A Review of Coastal Wave Modeling: The Physical and Mathematical Problems”, N E Huang presents a summary of the state-of-the-art of wave modeling in deep waters. He points out several shortcomings in existing modeling approaches and expresses the urgent need for developing a statistical theory of surface waves in shallow waters. Huang believes that the statistical theory can be formulated as the soliton turbulence. He also points out other important issues in wave modeling, including the air-sea interaction processes, and the physics of the wave-current and dissipation processes. In the second paper A C Radder focuses his discussion on the “Hamiltonian Dynamics of Water Waves”. He demonstrates that the Hamiltonian theory of surface waves can be formulated in terms of surface elevation and the velocity potential at the free surface as canonical variables. Several evolution equations, can be readily obtained. Radder also points out the need to develop a stochastic wave model in the shallow-water environment. The maximum runup is arguably the single most important parameter in the design of coastal structures and for the evaluation of the inundation potential of storm surges and tsunamis. C E Synolakis presents a thorough review of the “Exact Solutions of Shallow-Water Wave Equations”. For a single sloping beach, the evolution and runup of solitary, dipole, N and cnoidal waves are discussed. These solutions are then extended to more practical problems. The last two papers concern the flow and sediment motions near the seafloor. In their paper, “Boundary Layer and Sediment Dynamics Under Sea Waves”, P Blondeaux and G Vittori give an expert review of the recent contributions on the understanding of the interaction of the coherent vortex with cohesionless or partially cohesive sediments in a boundary layer. The formation and development of small-scale bedforms in the coastal regions are also discussed. Finally, in “Wave Scour Around Structures”, B M Sumer and J Fredsøe review the scouring processes around various types of structures. Many recent experimental data and theoretical developments are presented. Contents:A Review of Coastal Wave Modeling: The Physical and Mathematical Problems (N E Huang)Hamiltonian Dynamics of Water Waves (A C Radder)Exact Solutions of the Shallow-Water Wave Equations (C E Synolakis)Boundary Layer and Sediment Dynamics under Sea Waves (P Blondeaux & G Vittori)Wave Scour Around Structures (B M Sumer & J Fredsøe) Readership: Graduate students, engineers and researchers. keywords:Scour;Waves;Marine Structures;Coastal Structures;Erosion;Sediment Transport;Pipelines;Piles;Bridge Piers;Self Burial;Turbulent Oscillatory Boundary Layer;Sea Ripples;Coherent Vortices;Mass Transport Under Sea Waves;Sheet Flows
Nonlinear Dynamics of Rotating Shallow Water: Methods and Advances
Author: Publisher: Elsevier
ISBN: 008048946X
Category : Science
Languages : en
Pages : 401
Book Description
The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that analytical, numerical, and experimental approaches are presented together and complement each other. Special attention is paid on explaining the methodology, e.g. multiple time-scale asymptotic expansions, averaging and removal of resonances, in what concerns theory, high-resolution finite-volume schemes, in what concerns numerical simulations, and turntable experiments with stratified fluids, in what concerns laboratory simulations. A general introduction into GFD is given at the beginning to introduce the problematics for non-specialists. At the same time, recent new results on nonlinear geostrophic adjustment, nonlinear waves, and equatorial dynamics, including some exact results on the existence of the slow manifold, wave breaking, and nonlinear wave solutions are presented for the first time in a systematic manner. · Incorporates analytical, numerical and experimental approaches in the geophysical fluid dynamics context· Combination of essentials in GFD, of the description of analytical, numerical and experimental methods (tutorial part), and new results obtained by these methods (original part)· Provides the link between GFD and mechanics (averaging method, the method of normal forms); GFD and nonlinear physics (shocks, solitons, modons, anomalous transport, periodic nonlinear waves)
Numerical Modeling of Ocean Dynamics
Author: Zygmunt KowalikPublisher: World Scientific
ISBN: 9814365661
Category : Technology & Engineering
Languages : en
Pages : 496
Book Description
While there are several excellent books dealing with numerical analysis and analytical theory, one has to practically sift through hundreds of references. This monograph is an attempt to partly rectify this situation. It aims to introduce the application of finite-difference methods to ocean dynamics as well as review other complex methods. Systematically presented, the monograph first gives a detailed account of the basics and then go on to discuss the various applications. Recognising the impossibility of covering the entire field of ocean dynamics, the writers have chosen to focus on transport equations (diffusion and advection), shallow water phenomena — tides, storm surges and tsunamis, three-dimensional time dependent oceanic motion, natural oscillations, and steady state phenomena. The many aspects covered by this book makes it an indispensable handbook and reference source to both professionals and students of this field. Contents:Formulation of the General Equations:Equations of Motion, Continuity and DiffusionTwo-Dimensional EquationsApplication of the Stream FunctionViscosity in the Turbulent FlowTransport Equations:Mathematical RudimentsBoundary and Initial ConditionsBasic Numerical PropertiesExplicit Versus Implicit Numerical SchemesCentered Numerical SchemesComputational Errors: Diffusion and DispersionComputational and Physical Modes of the Numerical SolutionDiffusive ProcessesApplication of the Higher Order Computational Schemes to the Advective EquationTwo-Dimensional Numerical Models:Basic ProblemsNumerical Solution of the System of EquationsStep by Step Approach to the Construction and Analysis of Simple Numerical SchemesTwo-Dimensional ModelsNumerical FilteringGrid RefinementSimulation of Long Wave Run-UpFinite-Differencing of the Time DerivativeFinite-Differencing of the Space DerivativeTreatment of Open BoundariesTreatment of the Nonlinear Advective TermsMoving Boundary Models and Inclusion of Tidal FlatsNested Grids and Multiple GridsStretched Coordinates and Transformed Grid SystemsThree-Dimensional Time-Dependent Motion:IntroductionNumerical Modeling of the Fjord CirculationThree-Dimensional Motion in the Shallow SeasThree Dimensional Modeling Utilizing the Mode Splitting and Sigma CoordinateGeneral Circulation Model — Rigid Lid ConditionA Three-Dimensional Semi-Implicit ModelA Two-Layer ModelMode Splitting and Reduced Gravity ModelQuasi-Geostrophic ModelsStreamfunction ModelsThe Bidston ModelsHaidvogel et al.'s ModelNormal Modes:IntroductionSeichesThe Normal Mode ApproachSolutions for Lakes and Bays with Uniform and Variable DepthSystems with BranchesResonance Calculation for Irregular-Shaped BasinsSecondary UndulationsHelmholtz ModeOpen Boundary ConditionsNumerical Models for Resonance CalculationsKelvin Waves, Sverdrup Waves and Poincaré WavesInfluence of Ice Cover on Normal ModesSteady State Processes:Oceanographic ExamplesNumerical ApproximationBoundary ConditionsNumerical MethodsDirect MethodsHigher Order Accuracy Schemes for Convection-Dominated FlowAppendix 1ReferencesSubject Index Readership: Oceanographers, coastal engineers and environment scientists. keywords: